230293387995726907800

Names of 230293387995726907800

• Cardinal: 230293387995726907800 can be written as Two hundred thirty quintillion, two hundred ninety-three quadrillion, three hundred eighty-seven trillion, nine hundred ninety-five billion, seven hundred twenty-six million, nine hundred seven thousand, eight hundred.

Scientific notation

• Scientific notation: 2.302933879957269078 × 10²⁰

Factors of 230293387995726907800

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 317470896051511

Divisors of 230293387995726907800

• Number of divisors d(n): 288
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 25 26 30 31 36 39 40 45 50 52 60 62 65 72 75 78 90 93 100 104 117 120 124 130 150 155 156 180 186 195 200 225 234 248 260 279 300 310 312 325 360 372 390 403 450 465 468 520 558 585 600 620 650 744 775 780 806 900 930 936 975 1116 1170 1209 1240 1300 1395 1550 1560 1612 1800 1860 1950 2015 2232 2325 2340 2418 2600 2790 2925 3100 3224 3627 3720 3900 4030 4650 4680 4836 5580 5850 6045 6200 6975 7254 7800 8060 9300 9672 10075 11160 11700 12090 13950 14508 16120 18135 18600 20150 23400 24180 27900 29016 30225 36270 40300 48360 55800 60450 72540 80600 90675 120900 145080 181350 241800 362700 725400 317470896051457 634941792102914 952412688154371 1269883584205828 1587354480257285 1904825376308742 2539767168411656 2857238064463113 3174708960514570 3809650752617484 4127121648668941 4762063440771855 5714476128926226 6349417921029140 7619301505234968 7936772401286425 8254243297337882 9524126881543710 9841597777595167 11428952257852452 12381364946006823 12698835842058280 14286190322315565 15873544802572850 16508486594675764 19048253763087420 19683195555190334 20635608243344705 22857904515704904 23810317203859275 24762729892013646 28572380644631130 29524793332785501 31747089605145700 33016973189351528 37144094838020469 38096507526174840 39366391110380668 41271216486689410 47620634407718550 49207988887975835 49525459784027292 57144761289262260 59049586665571002 61906824730034115 63494179210291400 71430951611577825 74288189676040938 78732782220761336 82542432973378820 88574379998356503 95241268815437100 98415977775951670 99050919568054584 103178041216723525 114289522578524520 118099173331142004 123813649460068230 127940771108737171 142861903223155650 147623966663927505 148576379352081876 165084865946757640 177148759996713006 185720474190102345 190482537630874200 196831955551903340 206356082433447050 236198346662284008 246039944439879175 247627298920136460 255881542217474342 285723806446311300 295247933327855010 297152758704163752 309534123650170575 354297519993426012 371440948380204690 383822313326211513 393663911103806680 412712164866894100 442871899991782515 492079888879758350 495254597840272920 511763084434948684 571447612892622600 590495866655710020 619068247300341150 639703855543685855 708595039986852024 738119833319637525 742881896760409380 767644626652423026 825424329733788200 885743799983565030 928602370950511725 984159777759516700 1023526168869897368 1151466939978634539 1180991733311420040 1238136494600682300 1279407711087371710 1476239666639275050 1485763793520818760 1535289253304846052 1771487599967130060 1857204741901023450 1919111566631057565 1968319555519033400 2214359499958912575 2302933879957269078 2476272989201364600 2558815422174743420 2952479333278550100 3070578506609692104 3198519277718429275 3542975199934260120 3714409483802046900 3838223133262115130 4428718999917825150 4605867759914538156 5117630844349486840 5757334699893172695 5904958666557100200 6397038555436858550 7428818967604093800 7676446266524230260 8857437999835650300 9211735519829076312 9595557833155287825 11514669399786345390 12794077110873717100 15352892533048460520 17714875999671300600 19191115666310575650 23029338799572690780 25588154221747434200 28786673499465863475 38382231332621151300 46058677599145381560 57573346998931726950 76764462665242302600 115146693997863453900 230293387995726907800
• Sum of all divisors σ(n): 859761981850716497280
• Sum of proper divisors (its aliquot sum) s(n): 629468593854989589480
• 230293387995726907800 is an abundant number, because the sum of its proper divisors (629468593854989589480) is greater than itself. Its abundance is 399175205859262681680

Bases of 230293387995726907800

• Binary: 11000111101111110110011110000011110001000110100000101000100110011000₂
• Hexadecimal: 0xC7BF6783C46828998
• Base-36: 1CLNSWUC25I2E0

Squares and roots of 230293387995726907800

• 230293387995726907800 squared (230293387995726907800²) is 53035044554550414240069512116949700840000
• 230293387995726907800 cubed (230293387995726907800³) is 12213620092971742076936351451323388872345302665548262552000000
• The square root of 230293387995726907800 is 15175420521.2154469575
• The cube root of 230293387995726907800 is 6129529.7370541759

Scales and comparisons

• 230,293,387,995,726,907,800 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 230,293,387,995,726,907,800 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine years!

  This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)

• A cube with a volume of 230293387995726907800 cubic inches would be around 510794.1 feet tall.

Recreational maths with 230293387995726907800

• 230293387995726907800 backwards is 008709627599783392032
• The number of decimal digits it has is: 21
• The sum of 230293387995726907800's digits is 99
• More coming soon!